A reconstruction theory for multispectral intensity diffraction tomography (I-DT) is established and investigated for use with single material objects whose dispersion characteristics are known a priori. Instead of varying the object-to-detector distance, as prescribed by the original I-DT method and other classic in-line holographic reconstruction methods, the temporal frequency of the illuminating plane wave represents the degree of freedom of the imaging system that is varied to acquire two independent intensity measurements at each tomographic view angle. Unlike previous multispectral I-DT methods, the proposed method does not require a nondispersive assumption. A computer-simulation study is presented to demonstrate and corroborate the method.
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